Before diving into setting up Supabase with AWS CloudFormation, make sure you've got these things ready:

• An AWS Account with the right permissions to create resources.
• AWS CLI installed. If you don't have it yet, you can follow the official AWS Guide to get it.
• Supabase CLI installed. You can get it via npm with this command: npm install -g supabase.

First things first, head over to the Supabase Dashboard and create a new Project. You'll need to set the project name, environment, and region as needed.

Don't forget to copy and save the SUPABASE_URL and SUPABASE_SERVICE_ROLE_KEY. You'll need these later.

Next, create a cloudformation.yaml file to define your AWS resources. To keep it simple, we'll create a stack that sets up an S3 Bucket.

Here's a basic example:

Resources:
  MyBucket:
    Type: 'AWS::S3::Bucket'
    Properties:
      BucketName: my-s3-bucket

In this setup, AWS CloudFormation will manage the S3 bucket for you.

Before you run the stack, it's a good idea to validate the AWS CloudFormation template using the AWS CLI:

aws cloudformation validate-template --template-body file://cloudformation.yaml

If everything's good, the command won't return an error.

Now, let's deploy the AWS CloudFormation stack. Just replace stack_name with the name you want for your stack:

aws cloudformation create-stack --stack-name stack_name --template-body file://cloudformation.yaml

With your AWS resources all set up, it's time to integrate them with Supabase by setting some environment variables.

For an S3 bucket, you can use the Supabase Storage API. Here's how:

• Go to the Supabase Dashboard.
• Click on the SQL tab on the left.
• Add a bucket with this command:

insert into storage.buckets (id, name)
values ('bucket_id', 'bucket_name');

• Replace bucket_id with a unique id and bucket_name with the name of your S3 bucket.
• Set the environment variables in Supabase:

SUPABASE_AWS_ACCESS_KEY_ID=aws_access_key_id
SUPABASE_AWS_SECRET_ACCESS_KEY=aws_secret_access_key
SUPABASE_AWS_BUCKET_REGION=aws_region
SUPABASE_AWS_S3_BUCKET=bucket_name

Replace aws_access_key_id, aws_secret_access_key, aws_region, and bucket_name with your respective AWS values.

And there you have it! Supabase is now set up with AWS CloudFormation for infrastructure management.